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Finding the Third Proportional to 6,990,408 and 9,444,478.50

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Solution

The third proportional to 6,990,408 and 9,444,478.50 is: 12,760,081.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,990,408 : 9,444,478.50 = 9,444,478.50 : x
  2. Step 2: Convert to fraction form
    6,990,408/9,444,478.50 = 9,444,478.50/x
  3. Step 3: Cross multiply
    6,990,408x = 9,444,478.50 × 9,444,478.50
  4. Step 4: Simplify right side
    6,990,408x = 89,198,174,136,962.25
  5. Step 5: Solve for x
    x = 89,198,174,136,962.25/6,990,408
  6. Step 6: Final answer
    x = 12,760,081.26

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.